Coprime triangles the same after some point?
Klaus Brockhaus
klaus-brockhaus at t-online.de
Tue Jan 17 16:51:08 CET 2006
Leroy Quet wrote:
>
> Just wondering.
>
> Are triangles A112592 and A112599 the same after some row?
>
> Each row is defined as: the mth term of the nth row is the number of
> terms of the (n-1)th row which are coprime to m.
> A112592 has a(1,1) = 0, and A112599 has a(1,1) = 1.
Computation of up to row 1000 gave following results:
different sum of mean
row components differences difference
100 92 (92 %) 1222 12.22
200 187 (94 %) 2171 10.86
300 288 (96 %) 5659 18.86
400 369 (92 %) 9452 23.63
500 471 (94 %) 19202 38,40
600 570 (95 %) 15071 25,12
700 665 (95 %) 34202 48.86
800 753 (94 %) 58384 72.98
900 851 (95 %) 33579 37.31
1000 955 (96 %) 61020 61.02
Of course this proves nothing, but at least it doesn't speak in favor of the assumption that the n-th rows of triangles A112592 and A112599 will be identical for large n.
Klaus
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